The Potters went into half-time with a two-goal lead after Jon Walters and Stephen Ireland had given the visitors the ascendency but Swansea roared into the lead thanks to a second-half double from Wilfried Bony, either side of Nathan Dyer's 74th minute tally.
However, the Swans came undone when Charlie Adam converted from the penalty spot after Wayne Routledge has been penalised for handling the ball in the area - a decision which was met with derision by Laudrup.
"I have not spoken to the referee, I do not know the rules on that so I have to be careful. I have heard you cannot even say a referee is good before the game or you can get fined, so I can't say much more as I don't have £10,000 to waste," Laudrup told Sky Sports.
"I just feel so sorry for my players given how they performed after a difficult start to the game, 2-0 down after 20 or so minutes.
"We couldn't believe it but we continued to play in a difficult situation. We came out in the second half and kept Stoke in their box for the entire second half.
"We scored one, then the second and what should have been the winner, and then this happens in the last minute."
The draw left Swansea 13th on the table whilst Stoke find themselves sitting 17th, only outside the bottom three by virtue of goal difference ahead of Fulham.
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